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Anika [276]
3 years ago
9

What is the approximate volume of the sphere​

Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

523.33 mm³

Step-by-step explanation:

The general formula for the volume of a sphere is:

V = \frac{4}{3}\pi r^{3}

The radius for the given sphere is 5mm, so plugging that value into the equation and using 3.14 for π:

V = \frac{4}{3}(3.14)(5^{3})

V ≈ 523.33 mm³

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Estimate the perimeter of the figure to the nearest whole number.
Paha777 [63]

Answer:

The perimeter (to the nearest integer) is 9.

Step-by-step explanation:

The upper half of this figure is a triangle with height 3 and base 6.  If we divide this vertically we get two congruent triangles of height 3 and base 3.  Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles:  (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.

Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.

The lower half of the figure has the shape of a trapezoid.  Its base is 4.  Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle.  Using the Pythagorean Theorem, we get

(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10.  Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.

Then the perimeter consists of the sum 2√10 + 4 + 6√2.

which, when done on a calculator, comes to 9.48.  We must round this off to the nearest whole number, obtaining the final result 9.

4 0
3 years ago
How does knowing 1 Kg is 1,000 g and 1 g is 1000 mg help you convert 1 Kg to mg
romanna [79]

Answer:

Solution given:

1 kg =1000g

1g=1000mg

now

1kg=1000g=1000×1000mg=1000000mg

6 0
2 years ago
Please answer this asap for 15 pt
crimeas [40]

Answer:

Step-by-step explanation:

what is question that you whant my to answer

6 0
3 years ago
What is the average rate of change for this function for the interval from x=3 to x=5?​
timofeeve [1]

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 3, 5 ]

From the table of values

f(b) = f(5) = 32

f(a) = f(3) = 8

Hence

average rate of change = \frac{32-8}{5-3} = \frac{24}{2} = 12

4 0
3 years ago
Read 2 more answers
Please help me with this question
Anon25 [30]
I'm not 100% but I think its going to be a positive answer choice. 

So i would say 1/2




4 0
3 years ago
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